Geodesic
Oscillation criteria for forced nonlinear elliptic equations of arbitrary order
Časopis pro pěstování matematiky, Tome 113 (1988) no. 2, pp. 169-178
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DOI : 10.21136/CPM.1988.118340
Classification : 35J30 
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Švaňa, Peter. Oscillation criteria for forced nonlinear elliptic equations of arbitrary order. Časopis pro pěstování matematiky, Tome 113 (1988) no. 2, pp. 169-178. doi: 10.21136/CPM.1988.118340

[1] A. G. Kartsatos: On the maintenance of oscillations of n-th order equations under the effect of a small forcing term. J. Diff. Equations 10 (1971), 355-363. | MR | Zbl

[2] A. G. Kartsatos: Maintenance of oscillations under the effect of a periodic forcing term. Proc. Аmer. Math. Soc. 33 (1972), З77-З8З. | MR | Zbl

[З] Y. Kitamura T. Kusano: Nonlinear oscillation of a fourth order elliptic equation. J. Diff. Equations 30 (1978), 280-286. | MR

[4] Y. Kitamura T. Kusano: Oscillation criteria for semilinear metaharmonic equations in exterior domains. Аrch. Rational Mech. Аnal. 75 (1980), 79-90. | MR

[5] M. Kulenović: On oscillation of nonlinear partial differential inequalities. Radovi LXXIV (1983), 67-72. | MR

[6] T. Kusano M. Naito: Oscillation criteria for a class of perturbed Schrödinger equations. Canad. Math. Bull. 25 (1982), 71-77. | MR

[7] E. Müller-Pfeiffer: Über die Kneser-Konstante der Differential gleichung ( - Δ)'''u + g(x)u= 0. Аcta Math. Аcad. Sci. Hungar., 38 (1981), 139-150. | MR

[8] E. S. Noussair C. A. Swanson: Oscillation theory for semilinear Schrödinger equations and inequalities. Proc. Roy. Soc. Еdinburgh Sect. А 75 (1976), 67-81. | MR

[9] G. O. Okikiolu: Аspects of the theory of bounded integral operators in Lp-spaces. Аcademic Press, New York 1971. | MR

[10] Ch. G. Philos: Oscillatory and asymptotic behavior of all solutions of differential equations with deviating arguments. Proc. Roy. Soc. Еdinburgh Sect. А, 81 (1978), 195-210. | MR

[11] B. Singh T. Kusano: Forced oscillations in functional differential equations with deviating arguments. Аrch. Math. 1, Scripta Fac. Sci. Nat. UJЕP Brunensis, 19 (1983), 9-18. | MR

[12] W. F. Trench: Canonical forms and principal systems for general disconjugate equations. Trans. Аmer. Math. Soc. 189(1974), 319-327. | MR | Zbl

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